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40527023328 = 2533114264207
BaseRepresentation
bin100101101111100110…
…010100110011100000
310212121101202002121000
4211233212110303200
51130444404221303
630341242432000
72633204004651
oct455746246340
9125541662530
1040527023328
11162074a2510
127a30502600
133a8b30979c
141d66599528
1510c2ddbda3
hex96f994ce0

40527023328 has 96 divisors (see below), whose sum is σ = 128949649920. Its totient is φ = 12280913280.

The previous prime is 40527023297. The next prime is 40527023363. The reversal of 40527023328 is 82332072504.

40527023328 is a `hidden beast` number, since 40 + 5 + 270 + 23 + 328 = 666.

40527023328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40527023292 and 40527023301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122600 + ... + 2141607.

It is an arithmetic number, because the mean of its divisors is an integer number (1343225520).

Almost surely, 240527023328 is an apocalyptic number.

40527023328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40527023328 is an abundant number, since it is smaller than the sum of its proper divisors (88422626592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40527023328 is a wasteful number, since it uses less digits than its factorization.

40527023328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264237 (or 4264223 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 40527023328 in words is "forty billion, five hundred twenty-seven million, twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 4264207 8528414 12792621 17056828 25585242 34113656 38377863 46906277 51170484 68227312 76755726 93812554 102340968 115133589 136454624 140718831 153511452 187625108 204681936 230267178 281437662 307022904 375250216 409363872 422156493 460534356 562875324 614045808 750500432 844312986 921068712 1125750648 1228091616 1266469479 1501000864 1688625972 1842137424 2251501296 2532938958 3377251944 3684274848 4503002592 5065877916 6754503888 10131755832 13509007776 20263511664 40527023328